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Finding the Third Proportional to 380.81 and 578.44

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Solution

The third proportional to 380.81 and 578.44 is: 878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.81 : 578.44 = 578.44 : x
  2. Step 2: Convert to fraction form
    380.81/578.44 = 578.44/x
  3. Step 3: Cross multiply
    380.81x = 578.44 × 578.44
  4. Step 4: Simplify right side
    380.81x = 334,589.94
  5. Step 5: Solve for x
    x = 334,589.94/380.81
  6. Step 6: Final answer
    x = 878.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.